Solve for x: 1/2(2x − 14) = 4.

Hello I'm having trouble performing this in fractional form could I be only be pointed int he right direction not given a dierect answer entirly; I'm picking up some new knowledge off old topics and am some reason havign trouble doing the fractional piece....

**THNAKS SO MUCH FOR YOUR HELP AND TIME**

HiylinLink Jun 4, 2019

#1**+2 **

Do you know how to distribute?

1/2 times 2x = x.

1/2 times -14 = -7.

Now we get x-7=4.

Can you solve it from here?

You are very welcome!

:P

CoolStuffYT Jun 4, 2019

#2**-1 **

Oh yes distributing isn't a problem for me I was having trouble with fraction multiplying and stuff (Thsi course is telling me how to take care of these equations with fraction's in diffrent way then before thank you yes I think I can is it fine if I post my answer alongside here to see if its correct

HiylinLink
Jun 4, 2019

#3**-1 **

And from there is

with the given equation \(x - 7 = 4\)

to find the solution first we take 7 and add it to the four and see that it total's 11 and x is equal to elven because 11 - 7 is equal to 4

HiylinLink
Jun 4, 2019

#6**+4 **

We can also solve for x like this:

\(\frac12\)( 2x - 14 ) = 4

Multiply both sides of the equation by 2

2x - 14 = 8

Add 14 to both sides.

2x = 22

Divide both sides by 2

x = 11

This way we avoid disributing the \(\frac12\) . In this particular case it was shorter to do it the way CoolStuffYT said, but in many other cases it is easier to work it the other way. For example:

\(\frac12\)( x - 14 ) = 4

In this example, it is easier to first multiply both sides by 2 rather than distribute \(\frac12\) .

Try it both ways and you can see why

hectictar Jun 4, 2019

#7